Details

Time bar (total: 3.7s)

analyze99.0ms (2.7%)

Algorithm
search
egg-herbie
Rules
464×times-frac_binary64
407×neg-mul-1_binary64
388×neg-sub0_binary64 associate-/r/_binary64
311×associate-/l/_binary64
286×unswap-sqr_binary64
260×associate-*l*_binary64
251×associate-*r*_binary64
234×distribute-frac-neg_binary64
207×*-commutative_binary64
200×cancel-sign-sub-inv_binary64
183×div-sub_binary64
176×sub-neg_binary64
155×associate-*l/_binary64
151×associate-/r*_binary64
146×distribute-rgt-neg-out_binary64
142×distribute-rgt-in_binary64
141×unsub-neg_binary64
126×associate-/l*_binary64
124×distribute-neg-frac_binary64
95×distribute-rgt-neg-in_binary64
85×distribute-lft-in_binary64
77×distribute-lft-neg-out_binary64
66×distribute-lft-neg-in_binary64
64×associate-*r/_binary64
46×/-rgt-identity_binary64
45×sqr-pow_binary64
43×*-rgt-identity_binary64 div0_binary64
36×*-lft-identity_binary64
32×exp-prod_binary64 mul0-lft_binary64
31×mul0-rgt_binary64 swap-sqr_binary64 distribute-neg-in_binary64
29×remove-double-neg_binary64 +-lft-identity_binary64
28×exp-neg_binary64
25×exp-diff_binary64 exp-sum_binary64 cube-prod_binary64
22×cancel-sign-sub_binary64
21×sqr-neg_binary64
20×pow-sqr_binary64
19×pow-plus_binary64
18×associate-+l-_binary64
17×+-commutative_binary64
16×distribute-neg-out_binary64
15×sub0-neg_binary64 associate--r+_binary64
12×mul-1-neg_binary64
10×associate-+l+_binary64
cube-unmult_binary64
exp-sqrt_binary64 associate--r-_binary64
associate--l-_binary64 associate-+r-_binary64
associate-+r+_binary64
unpow3_binary64 exp-lft-sqr_binary64
prod-exp_binary64 --rgt-identity_binary64 remove-double-div_binary64 associate--l+_binary64
unpow2_binary64 cube-neg_binary64 rem-sqrt-square_binary64 distribute-rgt-out--_binary64
unpow1_binary64 div-exp_binary64 cube-mult_binary64 +-rgt-identity_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-div_binary64 rem-square-sqrt_binary64 *-inverses_binary64 rgt-mult-inverse_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 +-inverses_binary64 lft-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
12022
23422
35722
411622
526322
656122
7141922
8333422
9440522
10479722
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14
Compiler

Compiled 14 to 8 computations (42.9% saved)

sample62.0ms (1.7%)

Algorithm
intervals
Results
38.0ms130×body1024valid
7.0ms56×body512valid
4.0ms36×body256valid
3.0ms10×body2048valid
1.0ms24×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify72.0ms (2%)

Algorithm
egg-herbie
Rules
464×times-frac_binary64
407×neg-mul-1_binary64
388×neg-sub0_binary64 associate-/r/_binary64
311×associate-/l/_binary64
286×unswap-sqr_binary64
260×associate-*l*_binary64
251×associate-*r*_binary64
234×distribute-frac-neg_binary64
207×*-commutative_binary64
200×cancel-sign-sub-inv_binary64
183×div-sub_binary64
176×sub-neg_binary64
155×associate-*l/_binary64
151×associate-/r*_binary64
146×distribute-rgt-neg-out_binary64
142×distribute-rgt-in_binary64
141×unsub-neg_binary64
126×associate-/l*_binary64
124×distribute-neg-frac_binary64
95×distribute-rgt-neg-in_binary64
85×distribute-lft-in_binary64
77×distribute-lft-neg-out_binary64
66×distribute-lft-neg-in_binary64
64×associate-*r/_binary64
46×/-rgt-identity_binary64
45×sqr-pow_binary64
43×*-rgt-identity_binary64 div0_binary64
36×*-lft-identity_binary64
32×exp-prod_binary64 mul0-lft_binary64
31×mul0-rgt_binary64 swap-sqr_binary64 distribute-neg-in_binary64
29×remove-double-neg_binary64 +-lft-identity_binary64
28×exp-neg_binary64
25×exp-diff_binary64 exp-sum_binary64 cube-prod_binary64
22×cancel-sign-sub_binary64
21×sqr-neg_binary64
20×pow-sqr_binary64
19×pow-plus_binary64
18×associate-+l-_binary64
17×+-commutative_binary64
16×distribute-neg-out_binary64
15×sub0-neg_binary64 associate--r+_binary64
12×mul-1-neg_binary64
10×associate-+l+_binary64
cube-unmult_binary64
exp-sqrt_binary64 associate--r-_binary64
associate--l-_binary64 associate-+r-_binary64
associate-+r+_binary64
unpow3_binary64 exp-lft-sqr_binary64
prod-exp_binary64 --rgt-identity_binary64 remove-double-div_binary64 associate--l+_binary64
unpow2_binary64 cube-neg_binary64 rem-sqrt-square_binary64 distribute-rgt-out--_binary64
unpow1_binary64 div-exp_binary64 cube-mult_binary64 +-rgt-identity_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-div_binary64 rem-square-sqrt_binary64 *-inverses_binary64 rgt-mult-inverse_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 +-inverses_binary64 lft-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
12022
23422
35722
411622
526322
656122
7141922
8333422
9440522
10479722

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
57.9b
Counts
1 → 1
Compiler

Compiled 13 to 7 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.2b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite63.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
47×*-un-lft-identity_binary64
31×add-sqr-sqrt_binary64
30×times-frac_binary64
17×add-cube-cbrt_binary64
cosh-undef_binary64 distribute-lft-out_binary64
sinh-undef_binary64 add-log-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r*_binary64
pow1_binary64 cancel-sign-sub-inv_binary64
flip3--_binary64 flip--_binary64 associate-/l/_binary64 flip3-+_binary64 associate-/r/_binary64 flip-+_binary64
diff-log_binary64 sub-neg_binary64 tanh-undef_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 sum-log_binary64 +-commutative_binary64
Counts
3 → 89
Calls

3 calls:

11.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 1709 to 265 computations (84.5% saved)

series51.0ms (1.4%)

Error
1.1b
Counts
3 → 18
Calls

3 calls:

16.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
11.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 576 to 382 computations (33.7% saved)

simplify147.0ms (4%)

Algorithm
egg-herbie
Rules
373×cancel-sign-sub-inv_binary64
283×exp-prod_binary64
265×unswap-sqr_binary64
221×div-sub_binary64
217×associate-*l*_binary64
208×associate-*r*_binary64
138×sub-neg_binary64
127×distribute-rgt-in_binary64
123×log-prod_binary64
118×*-commutative_binary64
105×distribute-lft-in_binary64
100×distribute-neg-frac_binary64
93×associate-*l/_binary64
92×+-commutative_binary64
91×associate-/l*_binary64
85×associate-+l+_binary64
82×associate-/l/_binary64
65×associate-+r+_binary64
64×sqr-pow_binary64 associate-*r/_binary64
63×cube-prod_binary64 neg-sub0_binary64 associate-/r*_binary64
59×neg-mul-1_binary64
55×unsub-neg_binary64
50×difference-of-squares_binary64
49×unpow3_binary64
41×associate-/r/_binary64
40×swap-sqr_binary64
36×distribute-rgt-neg-in_binary64
35×times-frac_binary64
34×associate-+r-_binary64
32×distribute-frac-neg_binary64
31×distribute-lft-neg-in_binary64
29×prod-exp_binary64 *-rgt-identity_binary64
28×exp-sum_binary64
26×associate-+l-_binary64
19×log-div_binary64 *-lft-identity_binary64
18×exp-diff_binary64
17×distribute-neg-in_binary64 associate--l+_binary64
16×pow-plus_binary64 associate--r+_binary64
15×cube-unmult_binary64 cube-div_binary64
14×+-rgt-identity_binary64
13×sub0-neg_binary64
11×div-exp_binary64 mul0-lft_binary64 distribute-lft-neg-out_binary64
10×log-pow_binary64 pow-sqr_binary64
rem-sqrt-square_binary64 mul0-rgt_binary64
/-rgt-identity_binary64
difference-of-sqr--1_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 distribute-rgt-out_binary64
remove-double-neg_binary64 associate--r-_binary64 associate--l-_binary64
rec-exp_binary64 difference-of-sqr-1_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64
cube-mult_binary64 mul-1-neg_binary64 distribute-neg-out_binary64
log-rec_binary64 unpow1_binary64 exp-neg_binary64 distribute-lft1-in_binary64 count-2_binary64
cosh-def_binary64 sinh-def_binary64 unpow2_binary64 unpow1/2_binary64 1-exp_binary64 cube-neg_binary64 rem-3cbrt-lft_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 --rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-lft-out--_binary64
Counts
107 → 51
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01662671
13912495
29302484
326342484
446462484
550392484

prune31.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New47451
Fresh000
Picked101
Done000
Total48452
Error
0.7b
Counts
52 → 4
Compiler

Compiled 714 to 282 computations (60.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b
(sinh.f64 x)
1.2b
(/.f64 (sinh.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite64.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.7b
Rules
23×*-un-lft-identity_binary64
15×times-frac_binary64
13×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 cosh-undef_binary64 distribute-lft-out_binary64 associate-/r*_binary64
pow1_binary64 associate-/l*_binary64
sinh-def_binary64 flip3-+_binary64 associate-/r/_binary64 flip-+_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l/_binary64 sum-log_binary64 +-commutative_binary64
Counts
3 → 59
Calls

3 calls:

7.0ms
(/.f64 (sinh.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms
(sinh.f64 x)
Compiler

Compiled 1028 to 287 computations (72.1% saved)

series60.0ms (1.6%)

Error
0.7b
Counts
3 → 18
Calls

3 calls:

20.0ms
(/.f64 (sinh.f64 x) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
12.0ms
(sinh.f64 x)
8.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 654 to 477 computations (27.1% saved)

simplify98.0ms (2.7%)

Algorithm
egg-herbie
Rules
731×times-frac_binary64
366×distribute-rgt-in_binary64
237×cancel-sign-sub-inv_binary64
199×div-sub_binary64
179×exp-prod_binary64
125×sub-neg_binary64
104×associate-*l*_binary64
102×*-commutative_binary64
99×associate-*r*_binary64
97×cube-prod_binary64
84×unswap-sqr_binary64
81×associate-/l/_binary64
80×distribute-rgt-neg-in_binary64
78×log-prod_binary64
74×associate-*l/_binary64
71×distribute-lft-neg-in_binary64
69×exp-sum_binary64 associate-/l*_binary64
67×+-commutative_binary64
64×associate-+l+_binary64
55×distribute-rgt-out_binary64
52×associate-*r/_binary64 associate-+r+_binary64
51×associate-/r*_binary64
50×sqr-pow_binary64
46×distribute-lft-in_binary64
42×distribute-lft-out_binary64
36×neg-sub0_binary64
35×prod-exp_binary64 exp-diff_binary64 associate-/r/_binary64
33×neg-mul-1_binary64
28×associate-+r-_binary64
23×associate-+l-_binary64
20×unpow3_binary64 cube-unmult_binary64
18×distribute-neg-in_binary64
17×log-div_binary64 unsub-neg_binary64
16×*-rgt-identity_binary64
15×cube-div_binary64 distribute-neg-frac_binary64
14×+-rgt-identity_binary64 swap-sqr_binary64 distribute-lft-neg-out_binary64 associate--l+_binary64
13×sub0-neg_binary64
12×pow-plus_binary64 associate--r+_binary64
11×*-lft-identity_binary64 distribute-rgt-out--_binary64
10×cube-mult_binary64
log-pow_binary64 div-exp_binary64 distribute-rgt1-in_binary64 distribute-lft-out--_binary64
pow-sqr_binary64 distribute-rgt-neg-out_binary64
/-rgt-identity_binary64
difference-of-squares_binary64 associate--l-_binary64
exp-sqrt_binary64 rec-exp_binary64
distribute-lft1-in_binary64
rem-log-exp_binary64 difference-of-sqr--1_binary64 distribute-neg-out_binary64 associate--r-_binary64
log-rec_binary64 exp-neg_binary64 remove-double-neg_binary64 mul0-lft_binary64 difference-of-sqr-1_binary64 count-2_binary64
cosh-def_binary64 sinh-def_binary64 unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 +-inverses_binary64 lft-mult-inverse_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 e-exp-1_binary64 exp-0_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 div0_binary64 *-inverses_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64
Counts
77 → 31
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01341472
12981365
27331361
317751321
444171321
548911321

prune27.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh123
Picked101
Done000
Total32335
Error
0.7b
Counts
35 → 3
Compiler

Compiled 461 to 250 computations (45.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.0b
(+.f64 (-.f64 x (*.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 5) 2/15))
0.1b
(*.f64 (pow.f64 x 5) 2/15)
0.2b
(*.f64 1/3 (pow.f64 x 3))

rewrite129.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0.7b
Rules
23×add-sqr-sqrt_binary64
15×associate-*r*_binary64
14×add-exp-log_binary64
11×add-log-exp_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
10×associate-*l*_binary64
add-cbrt-cube_binary64 unpow-prod-down_binary64
unswap-sqr_binary64
prod-exp_binary64
pow1_binary64 cube-prod_binary64 sqr-pow_binary64
pow-to-exp_binary64 pow-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64 diff-log_binary64 sum-log_binary64 sub-neg_binary64 associate-+l+_binary64 cancel-sign-sub-inv_binary64
unpow3_binary64 cube-mult_binary64 flip3-+_binary64 flip-+_binary64 associate-+l-_binary64 +-commutative_binary64 flip3--_binary64 flip--_binary64
Counts
4 → 83
Calls

4 calls:

7.0ms
(*.f64 1/3 (pow.f64 x 3))
6.0ms
(+.f64 (-.f64 x (*.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 5) 2/15))
5.0ms
(*.f64 (pow.f64 x 5) 2/15)
3.0ms
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
Compiler

Compiled 1553 to 1223 computations (21.2% saved)

series52.0ms (1.4%)

Error
0.7b
Counts
4 → 17
Calls

4 calls:

17.0ms
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
11.0ms
(+.f64 (-.f64 x (*.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 5) 2/15))
10.0ms
(*.f64 (pow.f64 x 5) 2/15)
9.0ms
(*.f64 1/3 (pow.f64 x 3))
Compiler

Compiled 399 to 337 computations (15.5% saved)

simplify101.0ms (2.7%)

Algorithm
egg-herbie
Rules
554×unswap-sqr_binary64
488×cancel-sign-sub-inv_binary64
303×log-prod_binary64
295×*-commutative_binary64
164×distribute-rgt-in_binary64
159×exp-prod_binary64
154×distribute-lft-in_binary64
146×distribute-rgt-neg-in_binary64
131×distribute-lft-neg-in_binary64
121×sqr-pow_binary64
117×associate-*l*_binary64
109×associate-*r*_binary64
101×unsub-neg_binary64
98×cube-prod_binary64 sub-neg_binary64
95×neg-mul-1_binary64
94×neg-sub0_binary64
85×swap-sqr_binary64
48×associate-+l+_binary64
43×distribute-neg-in_binary64
42×associate-+r+_binary64
36×+-commutative_binary64
34×exp-sum_binary64
27×log-pow_binary64 distribute-rgt-out_binary64
26×difference-of-squares_binary64
22×unpow3_binary64
19×pow-sqr_binary64
18×exp-diff_binary64 distribute-lft-neg-out_binary64
17×associate--r+_binary64
15×times-frac_binary64 associate-+l-_binary64
14×pow-plus_binary64 cube-mult_binary64 distribute-rgt-out--_binary64
13×associate--l+_binary64 associate-+r-_binary64
10×rem-sqrt-square_binary64 distribute-neg-out_binary64
cube-unmult_binary64 sub0-neg_binary64
+-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate-/l*_binary64
distribute-rgt-neg-out_binary64
*-rgt-identity_binary64 remove-double-neg_binary64 distribute-lft-out_binary64
*-lft-identity_binary64 distribute-rgt1-in_binary64
associate--r-_binary64
div-exp_binary64 --rgt-identity_binary64 associate-/r*_binary64
unpow1/3_binary64 prod-exp_binary64 distribute-lft-out--_binary64 count-2_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 distribute-lft1-in_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 sqr-abs_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 associate-/l/_binary64 associate-/r/_binary64
Counts
100 → 61
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01451323
13191256
29561240
324031240
448111240
550191240

prune62.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New58361
Fresh022
Picked101
Done000
Total59564
Error
0.7b
Counts
64 → 5
Compiler

Compiled 945 to 729 computations (22.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(pow.f64 (cbrt.f64 x) 5)

rewrite87.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0.7b
Rules
12×cbrt-prod_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
unpow-prod-down_binary64
pow1_binary64 add-exp-log_binary64
pow1/3_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
pow-unpow_binary64
pow-pow_binary64
pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64
Counts
4 → 54
Calls

4 calls:

3.0ms
(pow.f64 (cbrt.f64 x) 5)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1390 to 817 computations (41.2% saved)

series95.0ms (2.5%)

Error
0.7b
Counts
4 → 12
Calls

4 calls:

28.0ms
(pow.f64 (cbrt.f64 x) 5)
19.0ms
(cbrt.f64 x)
18.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
Compiler

Compiled 802 to 625 computations (22.1% saved)

simplify73.0ms (2%)

Algorithm
egg-herbie
Rules
765×distribute-rgt-in_binary64
723×distribute-lft-in_binary64
395×log-prod_binary64
357×unswap-sqr_binary64
236×distribute-rgt-neg-in_binary64
235×distribute-lft-neg-in_binary64
225×*-commutative_binary64
187×exp-prod_binary64
176×sqr-pow_binary64
169×cube-prod_binary64
143×associate-*l*_binary64
110×associate-*r*_binary64
72×cancel-sign-sub-inv_binary64
56×unpow3_binary64
49×log-pow_binary64
46×distribute-rgt-out_binary64
45×pow-plus_binary64
40×pow-sqr_binary64
39×cube-unmult_binary64 cube-mult_binary64
36×neg-sub0_binary64
34×neg-mul-1_binary64
27×swap-sqr_binary64
21×distribute-lft-out_binary64
16×rem-sqrt-square_binary64
15×associate-/l*_binary64
13×sub-neg_binary64
12×count-2_binary64
11×associate-/l/_binary64
*-rgt-identity_binary64 *-lft-identity_binary64
distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
associate-*r/_binary64
unpow2_binary64
unpow1/3_binary64 times-frac_binary64 mul-1-neg_binary64 associate-+l+_binary64 associate-+r+_binary64
associate-*l/_binary64
/-rgt-identity_binary64 associate-/r/_binary64 +-commutative_binary64
unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 distribute-rgt1-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 unsub-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
66 → 33
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
058508
1116487
2271481
3793481
41717473
54599455
64841455

prune29.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New32133
Fresh044
Picked011
Done000
Total32638
Error
0.7b
Counts
38 → 6
Compiler

Compiled 490 to 323 computations (34.1% saved)

regimes277.0ms (7.5%)

Accuracy

Total -0.0b remaining (-6.9%)

Threshold costs -0.0b (-6.9%)

Compiler

Compiled 3562 to 2833 computations (20.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 *-commutative_binary64 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
133

end1.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

sample2.0s (53.5%)

Algorithm
intervals
Results
1.0s3901×body1024valid
270.0ms1916×body512valid
119.0ms404×body2048valid
92.0ms1021×body256valid
32.0ms758×body128valid
0.0msbody128overflowed
Compiler

Compiled 139 to 108 computations (22.3% saved)

Profiling

Loading profile data...